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Finding the Fourth Proportional to 836.92, 1,257.18 and 804.52

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Solution

The fourth proportional to 836.92, 1,257.18 and 804.52 is: 1,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.92 : 1,257.18 = 804.52 : x
  2. Step 2: Convert to fraction form
    836.92/1,257.18 = 804.52/x
  3. Step 3: Cross multiply
    836.92x = 1,257.18 × 804.52
  4. Step 4: Simplify right side
    836.92x = 1,011,426.45
  5. Step 5: Solve for x
    x = 1,011,426.45/836.92
  6. Step 6: Final answer
    x = 1,208.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.